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If u=sqrt(a^(2)cos^(2)theta+b^(2)sin^(2)...

If `u=sqrt(a^(2)cos^(2)theta+b^(2)sin^(2)theta)+sqrt(a^(2)sin^(2)theta+b^(2)cos^(2)theta)` where `a, b gt 0`. Then the difference between the maximum and minimum values of `u^(2)` is given by

A

`(a+b)^(2)`

B

`2sqrt(a^(2)+b^(2))`

C

`2(a^(2)+b^(2))`

D

`(a-b)^(2)`

Text Solution

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The correct Answer is:
d
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